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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Finding the angle between two vectors from their dot product"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

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Give me practice on tangent lines to curves

Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio

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Quiz me on subtracting a polynomial written in a bracket

Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in

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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Divide a polynomial by a quadratic

Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de

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Worked example: solving x^3-6x^2+11x-6=0

Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic

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Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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Teach me what a proposition is

Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an

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Explain propositions back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between a p

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Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Quiz me on when a conjunction of three statements is true

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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Explain biconditional and equivalence back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between a biconditional sta

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Give me practice identifying tautologies

Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru

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Quiz me on argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

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Give me practice with predicate logic

Act as my SS2 Further Maths tutor. Give me five practice problems that require translating

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Explain predicate logic back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro

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Teach me combinations

Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from

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Worked example: arranging letters of a word

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of

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